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A locally Convex Topology on the Beurling Algebras

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Introduction Let G be a locally compact group with a fixed left Haar measure λ and be a weight function on G; that is a Borel measurable function with for… Click to show full abstract

Introduction Let G be a locally compact group with a fixed left Haar measure λ and be a weight function on G; that is a Borel measurable function with for all . We denote by the set of all measurable functions such that ; the group algebra of G as defined in [2]. Then with the convolution product “*” and the norm defined by is a Banach algebra known as Beurling algebra. We denote by n(G, ) the topology generated by the norm . Also, let denote the space of all measurable functions with , the

Keywords: locally convex; medicine; beurling algebras; topology beurling; topology; convex topology

Journal Title: Molecular Medicine Reports
Year Published: 2020

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